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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
The method of cooking a roast in a roaster is called braising. A three pound roast would cook aproximately 2 to 2 1/2 hours at 325. The inside temperature should be 140 degrees for rare, 160 degrees for medium, and 170 degrees for well-done. Use meat theomometer for this.